In this paper, we attach an L∞-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), Lê-Oh (locally conformal symplectic case). As a new special case, we attach an L∞-algebra to any coisotropic submanifold in a contact manifold. The L∞-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.

Deformations of Coisotropic Submanifolds in Jacobi Manifolds

VITAGLIANO, LUCA
Membro del Collaboration Group
2018

Abstract

In this paper, we attach an L∞-algebra to any coisotropic submanifold in a Jacobi manifold. Our construction generalizes and unifies analogous constructions by Oh-Park (symplectic case), Cattaneo-Felder (Poisson case), Lê-Oh (locally conformal symplectic case). As a new special case, we attach an L∞-algebra to any coisotropic submanifold in a contact manifold. The L∞-algebra of a coisotropic submanifold S governs the (formal) deformation problem of S.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4679057
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